# Modified Newtonian Dynamics (MOND) as a Modification of Newtonian Inertia

@article{Alzain2017ModifiedND, title={Modified Newtonian Dynamics (MOND) as a Modification of Newtonian Inertia}, author={Mohammed Alzain}, journal={Journal of Astrophysics and Astronomy}, year={2017}, volume={38}, pages={1-9} }

We present a modified inertia formulation of Modified Newtonian dynamics (MOND) without retaining Galilean invariance. Assuming that the existence of a universal upper bound, predicted by MOND, to the acceleration produced by a dark halo is equivalent to a violation of the hypothesis of locality (which states that an accelerated observer is pointwise inertial), we demonstrate that Milgrom’s law is invariant under a new space–time coordinate transformation. In light of the new coordinate… Expand

#### 2 Citations

A test of Alzain’s modified inertia model for MOND using galaxy cluster observations

- 2021

Recently, Alzain proposed a modified inertial formalism of modified Newtonian dynamics (MOND), wherein Galiliean invariance is violated and new Lorentz transformation properties from an inertial to… Expand

Consequences of the external field effect for MOND disc galaxies in galaxy clusters

- Physics
- 2018

Galaxies within galaxy clusters are known to be subject to a wide variety of environmental effects, both gravitational and hydrodynamical. In this study, we examine the purely gravitational… Expand

#### References

SHOWING 1-10 OF 22 REFERENCES

Dynamics with a Nonstandard Inertia-Acceleration Relation: An Alternative to Dark Matter in Galactic Systems

- Physics
- 1993

Abstract We investigate particle dynamics that is governed by a nonstandard kinetic action of a special form. We are guided by a phenomenological scheme-the modified dynamics (MOND)-that imputes the… Expand

Relativistic gravitation theory for the modified newtonian dynamics paradigm

- Physics
- 2004

The modified Newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a… Expand

THE MODIFIED DYNAMICS AS A VACUUM EFFECT

- Physics
- 1998

Abstract To explain the appearance in MOND of a cosmological acceleration constant, a0, I suggest that MOND inertia - as embodied in the actions of free particles and fields - is due to effects of… Expand

The Modified Newtonian Dynamics Predicts an Absolute Maximum to the Acceleration Produced by “Dark Halos”

- Physics
- 1999

We have recently discovered that the modified Newtonian dynamics (MOND) implies some universal upper bound on the acceleration that can be produced by a "dark halo," which, in a Newtonian analysis,… Expand

A modification of the newtonian dynamics as a possible alternative to the hidden mass hypothesis

- Physics
- 1983

The author considers the possibility that there is not, in fact, much hidden mass in galaxies and galaxy systems. If a certain modified version of the Newtonian dynamics is used to describe the… Expand

The modified dynamics ( MOND ) predicts an absolute maximum to the acceleration produced by ‘ dark halos

- 1998

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a 'dark halo'–assumed in a Newtonian analysis to… Expand

Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions

- Physics, Medicine
- Living reviews in relativity
- 2012

It is shown that many of these puzzling observations are predicted by one single relation — Milgrom’s law — involving an acceleration constant a0 on the order of the square-root of the cosmological constant in natural units. Expand

Does the missing mass problem signal the breakdown of Newtonian gravity

- Physics
- 1984

We consider a nonrelativistic potential theory for gravity which differs from the Newtonian theory. The theory is built on the basic assumptions of the modified dynamics, which were shown earlier to… Expand

Milgrom's revision of Newton's laws - Dynamical and cosmological consequences

- Physics
- 1984

Milgrom's (1983) recent revision of Newtonian dynamics was introduced to eliminate the inference that large quantities of invisible mass exist in galaxies. It is shown by simple examples that a… Expand

Problems for Modified Newtonian Dynamics in Clusters and the Lyα Forest

- Physics
- 2001

The observed dynamics of gas and stars on galactic and larger scales cannot be accounted for by self-gravity, indicating that there are large quantities of unseen matter or that gravity is… Expand